Online doesn't really make anything much different. When a loved one dies, you grieve, and eventually come to terms with it and move on. You get bills, letters, Christmas cards, junk mail, etc. for a while after the person is gone. Charities are the worst. I still get letters from various charties, addressed to my mother who has been dead for nine years.
Facebook doesn't really change things, much as they might like to believe that people's lives hinge on their service.
That seems an overly simplistic way to look at things. Everything about computation isn't "much different" since it's literally built on a system of switches and logic gates. It's the scalability and speed that makes the difference, I mean, that's arguably why Facebook.com became a thing even though "face books" at Harvard have existed for years/decades [0].
In the case of death, there's the "new" issue that someone's Facebook account is basically an instantly-worldwide-accessible and permanent gravesite when they die. In the case of sudden death, there's a real issue of what that person would want on what's become an ad-hoc memorial site for perpetuity. And because it's a web service, there's the technical issue of access control, along with all the legal issues that have been around since the pre-Internet days.
Facebook doesn't really change things, much as they might like to believe that people's lives hinge on their service.